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Finding the Third Proportional to 433,324 and 966,226

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Solution

The third proportional to 433,324 and 966,226 is: 2,154,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,324 : 966,226 = 966,226 : x
  2. Step 2: Convert to fraction form
    433,324/966,226 = 966,226/x
  3. Step 3: Cross multiply
    433,324x = 966,226 × 966,226
  4. Step 4: Simplify right side
    433,324x = 933,592,683,076
  5. Step 5: Solve for x
    x = 933,592,683,076/433,324
  6. Step 6: Final answer
    x = 2,154,491.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.